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Search: id:A057634
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| A057634 |
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Initial prime in first sequence of n primes congruent to 7 modulo 8. |
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+0
1
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| 7, 359, 1823, 79063, 272863, 989647, 10604519, 10604519, 309202951, 309202951, 1383423311, 21120585463, 534956098463, 534956098463, 534956098463, 925195153703
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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J. K. Andersen, Consecutive Congruent Primes.
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EXAMPLE
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a(4) = 79063 because this number is the first in a sequence of 4 consecutive primes all of the form 8n + 7.
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MATHEMATICA
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NextPrime[ n_Integer ] := Module[ {k = n + 1}, While[ ! PrimeQ[ k ], k++ ]; Return[ k ]]; PrevPrime[ n_Integer ] := Module[ {k = n - 1}, While[ ! PrimeQ[ k ], k-- ]; Return[ k ]]; p = 0; Do[ a = Table[ -1, {n} ]; k = Max[ 1, p ]; While[ Union[ a ] != {7}, k = NextPrime[ k ]; a = Take[ AppendTo[ a, Mod[ k, 8 ]], -n ]]; p = NestList[ PrevPrime, k, n ]; Print[ p[[ -2 ] ]]; p = p[[ -1 ]], {n, 1, 8} ] a(9) > 115647000.
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CROSSREFS
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Sequence in context: A142669 A067556 A082098 this_sequence A145181 A082443 A082624
Adjacent sequences: A057631 A057632 A057633 this_sequence A057635 A057636 A057637
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 10 2000
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EXTENSIONS
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More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), May 28 2006
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